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Georgia [21]
9 months ago
5

10-2 (2x+1) = 4 (x-2)

Mathematics
2 answers:
Aleks04 [339]9 months ago
7 0

x=2

10-2(2x+1)=4(x-2)

10-4x-2=4x-8

10-2=8x-8

8=8x-8

16=8x

2=x

igor_vitrenko [27]9 months ago
5 0

Answer:

X = 2

Step-by-step explanation:

\sf \: First, solve  \: the \:  brackets.

\sf \: 10 - 2(2x + 1) = 4(x - 2) \\  \sf10 - 4x - 2 = 4x - 8 \:  \:  \:  \:  \:  \:  \:

\sf \: Combine  \: like \:  terms .

\sf8 - 4x = 4x - 8

\sf \: Subtract  \: 4x \:  from \:  both  \: sides \:  to  \: remove \:  4x.

\sf \: 8 - 4x - 4x = 4x - 8 - 4x \\  \sf8 - 8x =  - 8

\sf \: Subtract  \: 8 \:  from  \: both \:  sides \:  to  \: remove \:  8.

\sf8 - 8 - 8x =  - 8 - 8 \\  \sf - 8x =  - 16

\sf \: Divide  \: both  \: sides \:  by \:  -8.

\sf \: x = 2

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